On measurable local homomorphisms

Sasvári, Zoltán

doi:10.1090/S0002-9939-1991-1064907-1

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On measurable local homomorphisms
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by Zoltán Sasvári PDF

Proc. Amer. Math. Soc. 112 (1991), 603-604 Request permission

Abstract:

We prove that every measurable local homomorphism between locally compact groups is continuous.

References

Abstract harmonic analysis

Adam Kleppner, Measurable homomorphisms of locally compact groups, Proc. Amer. Math. Soc. 106 (1989), no. 2, 391–395. MR 948154, DOI 10.1090/S0002-9939-1989-0948154-8
Joseph Kupka and Karel Prikry, The measurability of uncountable unions, Amer. Math. Monthly 91 (1984), no. 2, 85–97. MR 729548, DOI 10.2307/2322101